# Weighted average cost of capital

The weighted average cost of capital (WACC) is the rate that a company is expected to pay on average to all its security holders to finance its assets.

The WACC is the minimum return that a company must earn on an existing asset base to satisfy its creditors, owners, and other providers of capital, or they will invest elsewhere. Companies raise money from a number of sources: common stock, preferred stock, straight debt, convertible debt, exchangeable debt, warrants, options, pension liabilities, executive stock options, governmental subsidies, and so on. Different securities, which represent different sources of finance, are expected to generate different returns. The WACC is calculated taking into account the relative weights of each component of the capital structure. The more complex the company's capital structure, the more laborious it is to calculate the WACC.

Companies can use WACC to see if the investment projects available to them are worthwhile to undertake.[1]

## Calculation

In general, the WACC can be calculated with the following formula:[2]

$\text{WACC} = \frac{\sum_{i=1}^N r_i \cdot MV_i }{\sum_{i=1}^N MV_i}$

where $N$ is the number of sources of capital (securities, types of liabilities); $r_i$ is the required rate of return for security $i$; and $MV_i$ is the market value of all outstanding securities $i$.

In the case where the company is financed with only equity and debt, the average cost of capital is computed as follows:

$\text{WACC} = \frac{D}{D+E}K_d + \frac{E}{D+E}K_e$

where D is the total debt, E is the total shareholder’s equity, Ke is the cost of equity, and Kd is the cost of debt.

### Tax effects

Tax effects can be incorporated into this formula. For example, the WACC for a company financed by one type of shares with the total market value of $MV_e$ and cost of equity $R_e$ and one type of bonds with the total market value of $MV_d$ and cost of debt $R_d$, in a country with corporate tax rate $t$, is calculated as:

$\text{WACC} = \frac{MV_e}{MV_d+MV_e} \cdot R_e + \frac{MV_d}{MV_d+MV_e} \cdot R_d \cdot (1-t)$

Actually carrying out this calculation has a problem. There are many plausible proxies for each element. As a result, a fairly wide range of values for the WACC for a given firm in a given year, may appear defensible.[3]